{"product_id":"introduction-to-finite-element-analysis-9780470977286","title":"Introduction to Finite Element Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eWhen using numerical simulation to make a decision, how can its reliability be determined? What are the common pitfalls and mistakes when assessing the trustworthiness of computed information, and how can they be avoided?\u003c\/b\u003e  \u003cp\u003eWhenever numerical simulation is employed in connection with engineering decision-making, there is an implied expectation of reliability: one cannot base decisions on computed information without believing that information is reliable enough to support those decisions. Using mathematical models to show the reliability of computer-generated information is an essential part of any modelling effort.\u003c\/p\u003e \u003cp\u003eGiving users of finite element analysis (FEA) software an introduction to verification and validation procedures, this book thoroughly covers the fundamentals of assuring reliability in numerical simulation. The renowned authors systematically guide readers through the basic theory and algorithmic structure of the finite element method, using helpful example\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e“I highly recommend this as a textbook for an undergraduate engineering course on FE analysis. Moreover, I recommend this book to every engineer who practices FE computation, since this is a well-written and unique source for studying the extremely important issue of reliability of FE analysis in practice.”  (\u003ci\u003eIACM Expressions\u003c\/i\u003e, 1 September 2012)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eAbout the Authors.  \u003cp\u003eSeries Preface.\u003c\/p\u003e \u003cp\u003ePreface.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Numerical simulation.\u003c\/p\u003e \u003cp\u003e1.2 Why is numerical accuracy important?\u003c\/p\u003e \u003cp\u003e1.3 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 An outline of the finite element method.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Mathematical models in one dimension.\u003c\/p\u003e \u003cp\u003e2.2 Approximate solution.\u003c\/p\u003e \u003cp\u003e2.3 Generalized formulation in one dimension.\u003c\/p\u003e \u003cp\u003e2.4 Finite element approximations.\u003c\/p\u003e \u003cp\u003e2.5 FEM in one dimension.\u003c\/p\u003e \u003cp\u003e2.6 Properties of the generalized formulation.\u003c\/p\u003e \u003cp\u003e2.7 Error estimation based on extrapolation.\u003c\/p\u003e \u003cp\u003e2.8 Extraction methods.\u003c\/p\u003e \u003cp\u003e2.9 Laboratory exercises.\u003c\/p\u003e \u003cp\u003e2.10 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Formulation of mathematical models.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Notation.\u003c\/p\u003e \u003cp\u003e3.2 Heat conduction.\u003c\/p\u003e \u003cp\u003e3.3 The scalar elliptic boundary value problem.\u003c\/p\u003e \u003cp\u003e3.4 Linear elasticity.\u003c\/p\u003e \u003cp\u003e3.5 Incompressible elastic materials.\u003c\/p\u003e \u003cp\u003e3.6 Stokes' flow.\u003c\/p\u003e \u003cp\u003e3.7 The hierarchic view of mathematical models.\u003c\/p\u003e \u003cp\u003e3.8 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Generalized formulations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 The scalar elliptic problem.\u003c\/p\u003e \u003cp\u003e4.2 The principle of virtual work.\u003c\/p\u003e \u003cp\u003e4.3 Elastostatic problems.\u003c\/p\u003e \u003cp\u003e4.4 Elastodynamic models.\u003c\/p\u003e \u003cp\u003e4.5 Incompressible materials.\u003c\/p\u003e \u003cp\u003e4.6 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Finite element spaces.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Standard elements in two dimensions.\u003c\/p\u003e \u003cp\u003e5.2 Standard polynomial spaces.\u003c\/p\u003e \u003cp\u003e5.3 Shape functions.\u003c\/p\u003e \u003cp\u003e5.4 Mapping functions in two dimensions.\u003c\/p\u003e \u003cp\u003e5.5 Elements in three dimensions.\u003c\/p\u003e \u003cp\u003e5.6 Integration and differentiation.\u003c\/p\u003e \u003cp\u003e5.7 Stiffness matrices and load vectors.\u003c\/p\u003e \u003cp\u003e5.8 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Regularity and rates of convergence.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Regularity.\u003c\/p\u003e \u003cp\u003e6.2 Classification.\u003c\/p\u003e \u003cp\u003e6.3 The neighborhood of singular points.\u003c\/p\u003e \u003cp\u003e6.4 Rates of convergence.\u003c\/p\u003e \u003cp\u003e6.5 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Computation and verification of data.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Computation of the solution and its first derivatives.\u003c\/p\u003e \u003cp\u003e7.2 Nodal forces.\u003c\/p\u003e \u003cp\u003e7.3 Verification of computed data.\u003c\/p\u003e \u003cp\u003e7.4 Flux and stress intensity factors.\u003c\/p\u003e \u003cp\u003e7.5 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 What should be computed and why?\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Basic assumptions.\u003c\/p\u003e \u003cp\u003e8.2 Conceptualization: drivers of damage accumulation.\u003c\/p\u003e \u003cp\u003e8.3 Classical models of metal fatigue.\u003c\/p\u003e \u003cp\u003e8.4 Linear elastic fracture mechanics.\u003c\/p\u003e \u003cp\u003e8.5 On the existence of a critical distance.\u003c\/p\u003e \u003cp\u003e8.6 Driving forces for damage accumulation.\u003c\/p\u003e \u003cp\u003e8.7 Cycle counting.\u003c\/p\u003e \u003cp\u003e8.8 Validation.\u003c\/p\u003e \u003cp\u003e8.9 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Beams, plates and shells.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Beams.\u003c\/p\u003e \u003cp\u003e9.2 Plates.\u003c\/p\u003e \u003cp\u003e9.3 Shells.\u003c\/p\u003e \u003cp\u003e9.4 The Oak Ridge experiments.\u003c\/p\u003e \u003cp\u003e9.5 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Nonlinear models.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Heat conduction.\u003c\/p\u003e \u003cp\u003e10.2 Solid mechanics.\u003c\/p\u003e \u003cp\u003e10.3 Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Definitions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Norms and seminorms.\u003c\/p\u003e \u003cp\u003eA.2 Normed linear spaces.\u003c\/p\u003e \u003cp\u003eA.3 Linear functionals.\u003c\/p\u003e \u003cp\u003eA.4 Bilinear forms.\u003c\/p\u003e \u003cp\u003eA.5 Convergence.\u003c\/p\u003e \u003cp\u003eA.6 Legendre polynomials.\u003c\/p\u003e \u003cp\u003eA.7 Analytic functions.\u003c\/p\u003e \u003cp\u003eA.8 The Schwarz inequality for integrals.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Numerical quadrature.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 Gaussian quadrature.\u003c\/p\u003e \u003cp\u003eB.2 Gauss–Lobatto quadrature.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eC Properties of the stress tensor.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eC.1 The traction vector.\u003c\/p\u003e \u003cp\u003eC.2 Principal stresses.\u003c\/p\u003e \u003cp\u003eC.3 Transformation of vectors.\u003c\/p\u003e \u003cp\u003eC.4 Transformation of stresses.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eD Computation of stress intensity factors.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eD.1 The contour integral method.\u003c\/p\u003e \u003cp\u003eD.2 The energy release rate.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eE Saint-Venant's principle.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eE.1 Green's function for the Laplace equation.\u003c\/p\u003e \u003cp\u003eE.2 Model problem.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eF Solutions for selected exercises.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBibliography.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402473120087,"sku":"9780470977286","price":79.16,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470977286.jpg?v=1730480508","url":"https:\/\/bookcurl.com\/products\/introduction-to-finite-element-analysis-9780470977286","provider":"Book 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